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Finding the Third Proportional to 7,951.50 and 18,891

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Solution

The third proportional to 7,951.50 and 18,891 is: 44,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.50 : 18,891 = 18,891 : x
  2. Step 2: Convert to fraction form
    7,951.50/18,891 = 18,891/x
  3. Step 3: Cross multiply
    7,951.50x = 18,891 × 18,891
  4. Step 4: Simplify right side
    7,951.50x = 356,869,881
  5. Step 5: Solve for x
    x = 356,869,881/7,951.50
  6. Step 6: Final answer
    x = 44,880.83

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.